A generalized differential transform method for linear partial differential equations of fractional order

By Zaid M. Odibat, Shaher Momani. Applied Mathematics Letters, 2008

401 citations recorded by the source corpus.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/725038695674846cdbb7c5f5d2d9cbcb5f4e0fc9

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Citations in the corpus

Gegenbauer spectral method for time‐fractional convection–diffusion equations with variable coefficients (2015, background): “The exact solution of this problem is [52, 53] u.”
A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems (2015, methodology): “These techniques include the Adomian’s decomposition method [33], the homotopy perturbation method [6, 3, 42], the variation iteration method [26], the variational iteration method considering Adomian’s polynomials approximation for nonlinear terms [23], the fractional differential transform method ”
Symmetries and exact solutions of the time fractional Harry-Dym equation with Riemann–Liouville derivative (2014, methodology): “Nevertheless, various methods such as Laplace transform [5], Fourier transform [8], variational iteration [12], finite difference [13], Adomian decomposition [14], homotopy perturbation [15,16], and generalized differential transform [17]methods, have been used to solve these equations and have achi”
Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, neutral): “Consider the problem (Chen et al., 2010; Odibat and Momani, 2008): @ yðx, tÞ @t þ @ (2)yðx, tÞ @x2 þ x @yðx, tÞ @x 1⁄4 2x þ 2x(2) þ 2,”
Novel solution methods for initial boundary value problems of fractional order with conformable differentiation (2017, result): “[13] Momani, S. and Odibat, Z. (2007).”